101112020017 has 2 divisors, whose sum is σ = 101112020018. Its totient is φ = 101112020016.

The previous prime is 101112019993. The next prime is 101112020021. The reversal of 101112020017 is 710020211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100428145216 + 683874801 = 316904^2 + 26151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112020017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112020617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556010008 + 50556010009.

It is an arithmetic number, because the mean of its divisors is an integer number (50556010009).

Almost surely, 2^101112020017 is an apocalyptic number.

It is an amenable number.

101112020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112020017 is an equidigital number, since it uses as much as digits as its factorization.

101112020017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 101112020017 its reverse (710020211101), we get a palindrome (811132231118).

The spelling of 101112020017 in words is "one hundred one billion, one hundred twelve million, twenty thousand, seventeen".